标题： Witt空间上迭代纤维化尖点度量的Hodge上同调 显示英文标题

标题： Hodge cohomology of iterated fibred cusp metrics on Witt spaces

摘要： 在平滑分层空间上，我们将任何给定的奇数性下的交叠上同调与光滑层上的迭代纤维化尖点度量相关联的加权$L^2$上同调相联系。 特别是给定一个Witt空间，我们将迭代纤维化尖点度量的$L^2$上同调与相应分层空间的中间奇数性交叠上同调相联系。 显示英文摘要

摘要： On a smoothly stratified space, we identify intersection cohomology of any given perversity with an associated weighted $L^2$ cohomology for iterated fibred cusp metrics on the smooth stratum. In particular given a Witt space, we identify the $L^2$ cohomology of iterated fibred cusp metrics with the middle perversity intersection cohomology of the corresponding stratified space.